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4441311132 = 22317233725583
BaseRepresentation
bin1000010001011100…
…10000011110011100
3102110112002222111220
410020232100132130
533043433424012
62012412413340
7215026343646
oct41056203634
912415088456
104441311132
11197a005875
12a3b477250
1355a19856b
14301bcd896
151aed9908c
hex108b9079c

4441311132 has 96 divisors (see below), whose sum is σ = 11759634432. Its totient is φ = 1296700416.

The previous prime is 4441311089. The next prime is 4441311139. The reversal of 4441311132 is 2311131444.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4441311139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160813 + ... + 186395.

It is an arithmetic number, because the mean of its divisors is an integer number (122496192).

Almost surely, 24441311132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4441311132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5879817216).

4441311132 is an abundant number, since it is smaller than the sum of its proper divisors (7318323300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4441311132 is a wasteful number, since it uses less digits than its factorization.

4441311132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25667 (or 25665 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 4441311132 is about 66643.1626800529. The cubic root of 4441311132 is about 1643.7549214057.

Adding to 4441311132 its reverse (2311131444), we get a palindrome (6752442576).

The spelling of 4441311132 in words is "four billion, four hundred forty-one million, three hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 23 34 37 46 51 68 69 74 92 102 111 138 148 204 222 276 391 444 629 782 851 1173 1258 1564 1702 1887 2346 2516 2553 3404 3774 4692 5106 7548 10212 14467 25583 28934 43401 51166 57868 76749 86802 102332 153498 173604 306996 434911 588409 869822 946571 1176818 1304733 1739644 1765227 1893142 2353636 2609466 2839713 3530454 3786284 5218932 5679426 7060908 10002953 11358852 16091707 20005906 21771133 30008859 32183414 40011812 43542266 48275121 60017718 64366828 65313399 87084532 96550242 120035436 130626798 193100484 261253596 370109261 740218522 1110327783 1480437044 2220655566 4441311132